11280768400 has 60 divisors (see below), whose sum is σ = 29565879984. Its totient is φ = 4102096000.

The previous prime is 11280768391. The next prime is 11280768409. The reversal of 11280768400 is 486708211.

It is an interprime number because it is at equal distance from previous prime (11280768391) and next prime (11280768409).

It is a self number, because there is not a number n which added to its sum of digits gives 11280768400.

It is not an unprimeable number, because it can be changed into a prime (11280768409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1277506 + ... + 1286305.

Almost surely, 2^11280768400 is an apocalyptic number.

11280768400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11280768400 is an abundant number, since it is smaller than the sum of its proper divisors (18285111584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11280768400 is a wasteful number, since it uses less digits than its factorization.

11280768400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2563840 (or 2563829 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 37.

The spelling of 11280768400 in words is "eleven billion, two hundred eighty million, seven hundred sixty-eight thousand, four hundred".